GATE XE (Engineering Sciences) 2013 - Question 13

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Section: Engineering Mathematics | Marks: 1

The Fourier series of the periodic function ݂(ݔ) = |ݔ|, −1 < ݔ< 1, ݂(ݔ+ 2) = ݂(ݔ), ݔ Є ℝ is given by 1 2 − ∑ 4 cos(2݊−1)ߨݔ (2݊−1)2 ߨ2 ∞ =1 . Using the above, the sum of the infinite series 1 + ଵ ଷమ+ ଵ ହమ+ . . . is

Figure for question 13, GATE XE (Engineering Sciences) 2013

  • A. ߨ2 4
  • B. ଷగమ
  • C. గమ
  • D. గమ ଶ

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